The body is formed of slender rod and rotates about a fixed axis through point O. At the instantshown, 0 = 0.8 rad/s and is constant. For this instant, the small collar A has a speed u = 2.5 m/srelative to the rod which is increasing at 1.2 m/s per second. If d = 2 m and r = 1 m, determinethe magnitudes of the absolute velocity and absolute acceleration of the collar. (VA 4.96 m/s,aд 12.18 m/s²)==dᎾAน

Answered: Image /qna-images/answer/b2a49c32-5e98-45e6-b3bb-27e9a9d2aa97.jpg

Answered: The body is formed of slender rod and…

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

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The slotted arm OA rotates about point 0 with constant angular velocity 0. The motion of the pin B is Onstrained such that it moves on the fixed circular surface and along the slot OA. Determine the magnitudes of the velocity and acceleration in terms of p and 0. v = re, +rðe, 4. a = (F -re? )e, + (r®+ 2re )e,
solve step by step, image has partial answer
The small ball is moving along the radial slot of the rotating disk. At the instant shown, the disk has an angular velocity w = 4.1 rad/s which is decreasing at 1.7 rad/s per second, x = 230 mm, x = = 0.32 m/s, and ï = -0.2 m/s². Calculate the magnitudes of the absolute velocity and acceleration of the ball for this instant. (v₁ = 1.0 m/s, a₁ = 4.64 m/s²) = ω x 0 A
The plate OAB forms an equilateral triangle with sides of S = 225 mm which rotates counterclockwise with increasing speed about point O. If the normal and tangential components of acceleration of the centroid C at a certain instant are 118 m/s? and 43 m/s², respectively, determine the value of de/dt in rad/s at this same instant. The angle e is the angle between line AB and the fixed horizontal axis. В C.
The slider P can be moved inward by means of the string S, while the slotted arm rotates about point O. The angular position of the arm is given by 0 = 0.65t - 0.057t2, where 0 is in radians and t is in seconds. The slider is at r = 1.26 m when t = 0 and thereafter is drawn inward at the constant rate of 0.13 m/s. Determine the velocity v and acceleration a of the slider whent = 3.6 s. Express your answers in the x-y coordinate system.
As the hydraulic cylinder rotates around O, the ex- posed length l of the piston rod P is controlled by the action of oil pressure in the cylinder. If the cylinder rotates at the constant rate 6 = 60 deg/s and l is decreasing at the constant rate of 150 mm/s, calculate the magnitudes of the velocity v and acceleration a of end B whenl = 125 mm. HW 375 mm Answers: v= 545 mm/s a= 632 mm/s?
The slider P can be moved inward by means of the string S, while the slotted arm rotates about point O. The angular position of the arm is given by 0-0.53t-0.036t2, where 0 is in radians and t is in seconds. The slider is at r-1.29 m when t-0 and thereafter is drawn inward at the constant rate of 0.12 m/s. Determine the velocity v and acceleration a of the slider when t - 3.1 s. Express your answers in the x-y coordinate system. 8 Answers: Att - 3.1 s, V- i -0.122 i+ i 0.2822 j) m/s a-( i -0.1082 i+ i 0.142 j) m/s²
When the bar rotates around point O, the position of the collar sliding along the bar is given by r = 10-2t + 3t. Calculate the velocity and acceleration of the collar at t = 2 (sec) when the rotation of the bar equals = 0.2t + 0.05t2. where r is mm, rad, and t is sec.
at- 12 rad/s 16-3. The disk is originally rotating at a = 12 rad/s. If it is a = 20 rad/s?, determine the magnitudes of the velocity and the n and t components of acceleration of point A at the instant i = 2s 0.4 m 0.5 m-A
The slider P can be moved inward by means of the string S, while the slotted arm rotates about point O. The angular position of the arm is given by θ = 0.60t - 0.039t2, where θ is in radians and t is in seconds. The slider is at r = 1.47 m when t = 0 and thereafter is drawn inward at the constant rate of 0.12 m/s. Determine the velocity v and acceleration a of the slider when t = 2.0 s. Express your answers in the x-y coordinate system.
Collars A and B slide along the fixed right-angle rods and are connected by a cord of length L= 7.1 m. Determine the acceleration of collar B when y = 2.8 m if collar A is given a constant upward velocity vĄ = 2.42 m/s. The acceleration of B is positive if to the right, negative if to the left. A L Answer: ag = m/s?
The slider P can be moved inward by means of the string S, while the slotted arm rotates about point O. The angular position of the arm is given by 0 = 0.84t - 0.056t2, where is in radians and t is in seconds. The slider is at r = 1.42 m when t = 0 and thereafter is drawn inward at the constant rate of 0.15 m/s. Determine the velocity v and acceleration a of the slider when t = 2.5 s. Express your answers in the x-y coordinate system. Answers: At t = 2.5 s, v = (i a = ( IN p x i+ i+ i j) m/s j) m/s²

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